Theorems · Theorem · number theory

WittVector.RecursionBase.solution.congr_simp

∀ (p : ℕ) [hp : Fact (Nat.Prime p)] {k : Type u_1} [inst : Field k] [inst_1 : IsAlgClosed k] (a₁ a₁_1 : WittVector p k),
  a₁ = a₁_1 →
    ∀ (a₂ a₂_1 : WittVector p k),
      a₂ = a₂_1 → WittVector.RecursionBase.solution p a₁ a₂ = WittVector.RecursionBase.solution p a₁_1 a₂_1

Defined in: Mathlib.RingTheory.WittVector.FrobeniusFractionField
Cited by: 0 results in Mathlib
Foundations: Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: Fact Field IsAlgClosed

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Fieldstatement and proof · cited by 7,404
Factstatement and proof · cited by 2,726
Nat.Primestatement and proof · cited by 2,059
WittVectorstatement and proof · cited by 227
IsAlgClosedstatement and proof · cited by 150
WittVector.RecursionBase.solutionstatement and proof · cited by 6

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